Quantifying Spread in 3-D Rotation Data: Comparison of Nonparametric and Parametric Techniques

• Activity Number: 260
• Type: Contributed
• Date/Time: Monday, August 1, 2016 : 2:00 PM to 3:50 PM
• Sponsor: Section on Nonparametric Statistics
• Author(s): Melissa Bingham*
• Companies: University of Wisconsin-La Crosse
• Keywords: 3-D rotations ; Bootstrapping ; matrix Fisher distribution

Abstract

A measure of spread for 3-D rotation data, called the average misorientation angle, is introduced and bootstrapping is developed for this measure. Existing parametric inference methods for estimating spread in 3-D rotations are then compared to the bootstrapping procedure through a simulation study.